Abstract
In this chapter the emphasis will be on the “Andronov-Hopf bifurcation”, the generic mathematical model of the phenomenon how a real world system depending on a parameter is losing the stability of an equilibrium state as the parameter is varied, giving rise to small stable or unstable oscillations. This will be treated in Section 2; applications in population dynamics will be presented in Sections 3 and 4. In Section 1 the underlying theory of structural stability will be dealt with in a concise form. According to the general structure of this book this Section ought to go into the Appendix; however, in this last chapter it yields, probably, an easier reference standing at the start.
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© 1994 Springer Science+Business Media New York
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Farkas, M. (1994). Bifurcations. In: Periodic Motions. Applied Mathematical Sciences, vol 104. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4211-4_7
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DOI: https://doi.org/10.1007/978-1-4757-4211-4_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2838-2
Online ISBN: 978-1-4757-4211-4
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